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Finding the Third Proportional to 229,007.25 and 336,667.50

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Solution

The third proportional to 229,007.25 and 336,667.50 is: 494,940.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,007.25 : 336,667.50 = 336,667.50 : x
  2. Step 2: Convert to fraction form
    229,007.25/336,667.50 = 336,667.50/x
  3. Step 3: Cross multiply
    229,007.25x = 336,667.50 × 336,667.50
  4. Step 4: Simplify right side
    229,007.25x = 113,345,005,556.25
  5. Step 5: Solve for x
    x = 113,345,005,556.25/229,007.25
  6. Step 6: Final answer
    x = 494,940.69

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.